Sylvain Cappell , Transcribed by
نویسندگان
چکیده
This is part one of a two semester course on algebraic topology. The course was offered in Fall 2011 at the Courant Institute for Mathematical Sciences, a division of New York University. Though the course is not taken from any particular text, some references are Introduction to Algebraic Topology by Munkres, Hatcher’s series of texts on algebraic topology, Greenberg & Hauper, Spanier, etc. Milnor’s Topology from the Differentiable Viewpoint may be useful in the manifolds portion of the course; Kelly’s text may be useful for the review of point-set. There will be a final and suggested homework problems.
منابع مشابه
Cohomology of Harmonic Forms on Riemannian Manifolds With Boundary
To Julius Shaneson on the occasion of his 60th birthday
متن کاملIntersection cohomology invariants of complex algebraic varieties
In this note we use the deep BBDG decomposition theorem in order to give a new proof of the so-called “stratified multiplicative property” for certain intersection cohomology invariants of complex algebraic varieties.
متن کاملClosed Aspherical Manifolds with Center (to Frank Raymond, with friendship and admiration)
We show that in all dimensions > 7 there are closed aspherical manifolds whose fundamental groups have nontrivial center but do not possess any topological circle actions. This disproves a conjectured converse (proposed by Conner and Raymond) to a classical theorem of Borel.
متن کاملUnitary Nilpotent Groups and Hermitian ^ - Theory
This announcement computes the Wall surgery obstruction groups of amalgamated free products of finitely presented groups by using the new UNil functors introduced below. Special cases of these results [C4] were obtained as consequences of the splitting theorems of [C3]. The present results use the general results on manifold decomposition outlined in [C7]. Further applications to the study of m...
متن کاملEquivariant Characteristic Classes of Singular Complex Algebraic Varieties
Homology Hirzebruch characteristic classes for singular varieties have been recently defined by Brasselet-Schürmann-Yokura as an attempt to unify previously known characteristic class theories for singular spaces (e.g., MacPherson-Chern classes, BaumFulton-MacPherson Todd classes, and Goresky-MacPherson L-classes, respectively). In this note we define equivariant analogues of these classes for ...
متن کامل